Immigration and Customs Enforcement said Rios was deported in 2003 and again the following year.
Rios, 33, has been charged with the murder and sexual assault of Carolina Cano, a 45-year-old Jersey City nanny whose body was discovered in the lake at Lincoln Park.
Rios is being held at the Hudson County Jail.
Click here to follow Daily Voice Ridgefield Park-Hasbrouck Heights and receive free news updates.